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Finding the Fourth Proportional to 5,902.85, 8,853.57 and 1,954.11

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Solution

The fourth proportional to 5,902.85, 8,853.57 and 1,954.11 is: 2,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.85 : 8,853.57 = 1,954.11 : x
  2. Step 2: Convert to fraction form
    5,902.85/8,853.57 = 1,954.11/x
  3. Step 3: Cross multiply
    5,902.85x = 8,853.57 × 1,954.11
  4. Step 4: Simplify right side
    5,902.85x = 17,300,849.67
  5. Step 5: Solve for x
    x = 17,300,849.67/5,902.85
  6. Step 6: Final answer
    x = 2,930.93

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.